Sorry, this page is no longer available

We may earn an affiliate commission when you visit our partners.

頑想學概率：機率一 (Probability (1))

葉丙成

這是一個機率的入門課程，著重的是教授機率基本概念。課程內容和作業都使用生活化的例子，希望讓同學們快樂學習、快速培養同學們對於機率的洞察力與應用能力。

Enroll now

Or subscribe to Coursera Plus

And get unlimited access to Coursera

Here's a deal for you

Save money when you learn with a deal that may be relevant to this course.

All coupon codes, vouchers, and discounts are applied automatically unless otherwise noted.

Valid until August 30

Google AI App Builder

Learn how to use Gemini API and API Studio with a three-course series from Google DeepMind

What's inside

Syllabus

WEEK 1

歡迎來到「頑想學概率：機率一」第一週課程！本週主題有三個： 1. 機率的概論──機率的本質是什麼？ 2. 所有機率課本都會講到的：集合論 3. 機率學中一些重要專有名詞含義的介紹

WEEK 2

本週的兩個主題：1. 神聖的機率三公理和衍生的性質 2. 機率學中不能不知道的「條件機率」概念很有趣哦！

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Uses real-world examples to make learning enjoyable and relatable

Suitable for beginners who want to build a strong foundation in probability

Introduces fundamental probability concepts, including the axioms of probability and conditional probability

Emphasizes developing an intuitive understanding of probability rather than focusing solely on mathematical formulas

May require additional resources and practice for those seeking a more in-depth understanding of probability

Excludes topics related to probability distributions, which may be important for some applications

Save this course

Create your own learning path. Save this course to your list so you can find it easily later.

Save

Reviews summary

機率入門：清晰易懂的生活化教學

根據學生的說法，這門「頑想學概率：機率一」課程好評居多，尤其非常適合初學者入門機率。學生讚揚老師的講解清晰且耐心，善於使用生活化的例子讓抽象概念變得具體易懂。作業也被認為有助於鞏固學習。然而，少數評論提到部分內容進度可能稍快，對於完全零基礎的學習者來說，可能需要反覆觀看或補充練習。總體而言，是個扎實且易於吸收的入門課程。

幫助理解抽象機率概念。

"用生活化的例子讓我這個初學者也能聽懂。"

"老師的例子真的很棒，讓抽象的機率概念具體化。"

"透過生活化的例子，我能更輕鬆地理解機率概念。"

課程設計對機率初學者友善。

"課程結構很清晰，老師講得很仔細，用生活化的例子讓我這個初學者也能聽懂。"

"非常適合入門，從零開始介紹機率。老師講解耐心，步調適中。"

"一個很好的機率入門課程。內容扎實，老師教得很好。"

部分學生認為步調稍快需補充練習。

"課程不錯，但某些部分感覺跳得比較快，如果沒有一點基礎可能會跟不上。"

"希望可以有更多練習題。"

"有些觀念對我來說比較抽象，需要反覆觀看。"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in 頑想學概率：機率一 (Probability (1)) with these activities:

Review probability theory

Show steps

Review the basics of probability theory to ensure a solid foundation for this course.

Browse courses on Probability Theory

Show steps

Read through probability handouts and notes.
Review probability concepts through videos.
Solve practice problems to test understanding.

Probability problem-solving exercises

Show steps

Strengthen your problem-solving abilities by working through a variety of probability exercises.

Show steps

Attempt a set of 10 practice problems on conditional probability.
Attempt a set of 10 practice problems on Bayes' theorem.
Attempt a set of 10 practice problems on counting techniques.

Create an infographic on conditional probability

Show steps

Reinforce your understanding of conditional probability by creating a visual representation of the concept.

Show steps

Identify the key concepts of conditional probability.
Design a visually appealing infographic that explains these concepts clearly.

Four other activities

Expand to see all activities and additional details

Show all seven activities

Review the book 'Probability for Data Scientists' by Jake VanderPlas

Show steps

Expand your understanding of probability by reading and engaging with a comprehensive book on the subject.

View Python Data Science Handbook: Essential Tools... on Amazon

Show steps

Read selected chapters of the book to broaden knowledge on probability concepts
Solve exercises and problems presented in the book to test understanding

Volunteer at a local math tutoring center

Show steps

Apply your probability knowledge and gain practical experience by assisting students with their probability-related questions.

Show steps

Contact local math tutoring centers to inquire about volunteer opportunities focused on probability.
Prepare a lesson plan on a specific probability topic to introduce to students.
Attend the volunteer sessions and assist students with their probability questions.

Build a probability calculator

Show steps

Reinforce your understanding of probability by developing a tool that performs probability calculations.

Show steps

Choose a programming language and development environment.
Design the interface and functionality of the calculator.
Implement the probability calculations using appropriate algorithms.
Test the calculator thoroughly to ensure accuracy and reliability.

Develop a presentation on the applications of probability in machine learning

Show steps

Synthesize your knowledge of probability and machine learning by creating a presentation that showcases the practical applications of probability in this field.

Show steps

Research and gather information on the applications of probability in machine learning.
Design a visually appealing and informative presentation.
Practice delivering the presentation to ensure clarity and effectiveness.

Career center

Learners who complete 頑想學概率：機率一 (Probability (1)) will develop knowledge and skills that may be useful to these careers:

Statistician

Statisticians may use probability to develop statistical models for making predictions and decisions. Learning basic probability concepts will provide a foundation for building upon in future statistician roles. Especially for statisticians that work on data analysis, quality control, and market research.

See salaries and explore the career path for Statistician

Academic Researcher

Academic Researchers may inspire new discoveries in probability theory within this course. Learning basic foundational probability concepts will provide a vital foundation for building upon in future research endeavors. Statistics and Mathematics graduates may have the statistical background needed to succeed in this role.

See salaries and explore the career path for Academic Researcher

Machine Learning Engineer

Machine Learning Engineers may use probability to develop probabilistic models for making predictions and decisions. Learning basic probability concepts will provide a foundation for building upon in future machine learning engineering roles. Especially for engineers that work on fraud detection, spam filtering, and language translation.

See salaries and explore the career path for Machine Learning Engineer

Data Analyst

Data Analysts may use probability to develop statistical models needed for discovering patterns, trends, and making predictions from data. Learning basic probability concepts will provide a foundation for building upon in future data analysis roles. Especially for analysts that work with risk prediction, modeling, and forecasting.

See salaries and explore the career path for Data Analyst

Financial Analyst

Financial Analysts may use probability to develop financial models for making investment decisions. Learning basic probability concepts will provide a foundation for building upon in future financial analysis roles. Especially for analysts that work with portfolio management, risk assessment, and financial planning.

See salaries and explore the career path for Financial Analyst

Actuary

Actuaries may use probability to develop models for assessing and managing risk. Learning basic probability concepts will provide a foundation for building upon in future actuary roles. Especially for actuaries that work with insurance, pensions, and employee benefits.

See salaries and explore the career path for Actuary

Financial Quantitative Analyst

Financial Quantitative Analysts may use probability to develop mathematical models for predicting future financial trends. Learning basic probability concepts will provide a foundation for building upon in future financial analysis roles. Especially for quants that work with risk prediction, pricing, and portfolio optimization.

See salaries and explore the career path for Financial Quantitative Analyst

Operations Research Analyst

Operations Research Analysts may use probability to develop models for optimizing operations and decision-making. Learning basic probability concepts will provide a foundation for building upon in future operations research roles. Especially for analysts that work on supply chain management, inventory control, and project management.

See salaries and explore the career path for Operations Research Analyst

Quantitative Risk Analyst

Quantitative Risk Analysts may use probability to develop models for assessing and managing risk. Learning basic probability concepts will provide a foundation for building upon in future quantitative risk analysis roles. Especially for analysts that work with risk prediction, modeling, and portfolio optimization.

See salaries and explore the career path for Quantitative Risk Analyst

Risk Manager

Risk Managers may use probability to develop models for assessing and managing risk. Learning basic probability concepts will provide a foundation for building upon in future risk management roles. Especially for managers that work with risk prediction, regulatory compliance, and insurance.

See salaries and explore the career path for Risk Manager

Underwriter

Underwriters may use probability to develop models for assessing and managing risk. Learning basic probability concepts will provide a foundation for building upon in future underwriting roles. Especially for underwriters that work with insurance, banking, and lending.

See salaries and explore the career path for Underwriter

Data Scientist

Data Scientists may use probability to develop statistical models for making predictions and decisions. Learning basic probability concepts will provide a foundation for building upon in future data science roles. Especially for data scientists that work on data analysis, machine learning, and artificial intelligence.

See salaries and explore the career path for Data Scientist

Trader

Traders may use probability to develop models for predicting future prices. Learning basic probability concepts will provide a foundation for building upon in future trading roles. Especially for traders that work with stocks, bonds, and derivatives.

See salaries and explore the career path for Trader

Software Engineer

Software Engineers may use probability to develop software that makes predictions and decisions. Learning basic probability concepts will provide a foundation for building upon in future software engineering roles. Especially for engineers that work on developing AI, machine learning, and data mining software.

See salaries and explore the career path for Software Engineer

Teacher

Teachers may use probability to teach students about math and statistics. Learning basic probability concepts will provide a foundation for building upon in future teaching roles. Especially for teachers that work with high school or college students.

See salaries and explore the career path for Teacher

Reading list

We've selected seven books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in 頑想學概率：機率一 (Probability (1)).

Statistical Inference

Save

統計推論的經典教科書，涵蓋點估計、區間估計、假設檢定等主題，適合進階學習者。

(English) Statistical Inference

Hardcover

$$$

(English) Statistical Inference

Hardcover

$$$

(English) Times Higher Education Abroad excellent selection...

Paperback

(English) Statistical Inference